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Finding the Fourth Proportional to 11,242.40, 16,849.20 and 9,946.40

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Solution

The fourth proportional to 11,242.40, 16,849.20 and 9,946.40 is: 14,906.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.40 : 16,849.20 = 9,946.40 : x
  2. Step 2: Convert to fraction form
    11,242.40/16,849.20 = 9,946.40/x
  3. Step 3: Cross multiply
    11,242.40x = 16,849.20 × 9,946.40
  4. Step 4: Simplify right side
    11,242.40x = 167,588,882.88
  5. Step 5: Solve for x
    x = 167,588,882.88/11,242.40
  6. Step 6: Final answer
    x = 14,906.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.